Greatest Common Factor of 6999 and 7002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6999, 7002 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6999 and 7002 is 3.

GCF(6999,7002) = 3

GCF of 6999 and 7002

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6999 and 7002

GCF of 6999 and 7002 is 3

Prime Factorization of 6999


3 6999
2333 2333
1

Prime factors of 6999 are 3,2333. Prime factorization of 6999 in exponential form is:

6999 = 31×23331

Prime Factorization of 7002


2 7002
3 3501
3 1167
389 389
1

Prime factors of 7002 are 2,3,389. Prime factorization of 7002 in exponential form is:

7002 = 21×32×3891

∴ So by taking common prime factors GCF of 6999 and 7002 is 3

Greatest Common Factor of 6999 and 7002 by matching factors method

Factors of 6999

List of positive integer factors of 6999 that divides 6999 without a remainder.

1,3,2333,6999

Factors of 7002

List of positive integer factors of 7002 that divides 7002 without a remainder.

1,2,3,6,9,18,389,778,1167,2334,3501,7002

Greatest Common Factor

We found the factors and prime factorization of 6999 and 7002. The biggest common factor number is the GCF number.
So the greatest common factor 6999 and 7002 is 3.

Also check out the Least Common Multiple of 6999 and 7002

Properties of GCF 6999 and 7002

(i) The GCF of 6999 and 7002 is associative

GCF of 6999 and 7002 = GCF of 7002 and 6999

Related Greatest Common Factor of 6999

Related Greatest Common Factor of 7002

Frequently Asked Questions on GCF of 6999 and 7002

1. What is the GCF of 6999 and 7002?

Answer: GCF of 6999 and 7002 is 3.

2. What are the Factors of 6999?

Answer: Factors of 6999 are 1, 3, 2333, 6999. There are 4 integers that are factors of 6999. The greatest factor of 6999 is 6999.

3. What are the Factors of 7002?

Answer: Factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002. There are 12 integers that are factors of 7002. The greatest factor of 7002 is 7002.

4. How to Find the GCF of 6999 and 7002?

Answer:

Greatest Common Factor of 6999 and 7002 = 3

Step 1: Find the prime factorization of 6999

6999 = 3 x 2333

Step 2: Find the prime factorization of 7002

7002 = 2 x 3 x 3 x 389

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 6999 and 7002 is 3